Free vibrations and buckling analysis of laminated plates by oscillatory radial basis functions

Neves, A. M. A.; Ferreira, A.J.M.

doi:10.1515/cls-2016-0002

Cited by 4 publications

(3 citation statements)

References 20 publications

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“…Besides that, in case of fuzzy stability analysis, the buckling loads are found to have a fuzzy response bound with respect to the corresponding deterministic values. Thus there exists a possibility of overlap in the fuzzy responses of the buckling loads corresponding to different modes of buckling resulting in a Liew and Huang (2003) and Neves and Ferreira (2016) non-unique critical buckling mode with the minimum value of buckling load. For this reason, it is essential to consider higher buckling modes in case of fuzzy-uncertainty in the system parameters.…”

Section: Validation and Convergence Studymentioning

confidence: 99%

“…Hence it is important to quantify the effect of source-uncertainties for composite structures, so that an inclusive design paradigm could be adopted to avoid any compromise in the aspects of safety and serviceability. Deterministic analyses of composite structures have received considerable attention from the scientific community [Reddy (2003), Chakrabarti et al (2013), Liew (1996), Liew and Huang (2003), Neves and Ferreira (2016), Tornabene et al (2017Tornabene et al ( , 2018]. The aspect of considering uncertainty in the analysis and design of composite structures are becoming increasingly recognised in last few years.…”

Section: Introductionmentioning

confidence: 99%

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Spatially varying fuzzy multi-scale uncertainty propagation in unidirectional fibre reinforced composites

Naskar

Mukhopadhyay

Sriramula

2019

Composite Structures

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This article presents a non-probabilistic fuzzy based multi-scale uncertainty propagation framework for studying the dynamic and stability characteristics of composite laminates with spatially varying system properties. Most of the studies concerning the uncertainty quantification of composites rely on probabilistic analyses, where the prerequisite is to have the statistical distribution of stochastic input parameters. In many engineering problems, these statistical distributions remain unavailable due to the restriction of performing large number of experiments. In such situations, a fuzzy-based approach could be appropriate to characterize the effect of uncertainty. A novel concept of fuzzy representative volume element (FRVE) is developed here for accounting the spatially varying non-probabilistic source-uncertainties at the input level. Such approach of uncertainty modelling is physically more relevant than the prevalent way of modelling non-probabilistic uncertainty without considering the ply-level spatial variability. An efficient radial basis function based stochastic algorithm coupled with the fuzzy finite element model of composites is developed for the multi-scale uncertainty propagation involving multi-synchronous triggering parameters. The concept of a fuzzy factor of safety (FFoS) is discussed in this paper for evaluation of safety factor in the non-probabilistic regime. The results reveal that the present physically relevant approach of modelling fuzzy uncertainty considering plylevel spatial variability obtains significantly lower fuzzy bounds of the global responses compared to the conventional approach of non-probabilistic modelling neglecting the spatially varying attributes.

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Section: Validation and Convergence Studymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Spatially varying fuzzy multi-scale uncertainty propagation in unidirectional fibre reinforced composites

Naskar

Mukhopadhyay

Sriramula

2019

Composite Structures

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“…Their interest in this subject is mainly due to the fact that the use of advanced materials has shown inadequacy of the classical or first-order theories to capture the effective mechanical behavior of this class of materials, such as laminated composites or functionally graded materials [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. In these particular circumstances, the fundamental hypotheses of a lower-order model could lead to inaccurate results since some effects are neglected or not even considered.…”

Section: Introductionmentioning

confidence: 99%

An Equivalent Layer-Wise Approach for the Free Vibration Analysis of Thick and Thin Laminated and Sandwich Shells

et al. 2016

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Abstract:The main purpose of the paper is to present an innovative higher-order structural theory to accurately evaluate the natural frequencies of laminated composite shells. A new kinematic model is developed starting from the theoretical framework given by a unified formulation. The kinematic expansion is taken as a free parameter, and the three-dimensional displacement field is described by using alternatively the Legendre or Lagrange polynomials, following the key points of the most typical Layer-wise (LW) approaches. The structure is considered as a unique body and all the geometric and mechanical properties are evaluated on the shell middle surface, following the idea of the well-known Equivalent Single Layer (ESL) models. For this purpose, the name Equivalent Layer-Wise (ELW) is introduced to define the present approach. The governing equations are solved numerically by means of the Generalized Differential Quadrature (GDQ) method and the solutions are compared with the results available in the literature or obtained through a commercial finite element program. Due to the generality of the current method, several boundary conditions and various mechanical and geometric configurations are considered. Finally, it should be underlined that different doubly-curved surfaces may be considered following the mathematical framework given by the differential geometry.

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Free vibration and buckling analysis of cross-ply laminated composite plates using Carrera's unified formulation based on Isogeometric approach

Alesadi

Galehdari

Shojaee

2017

Computers & Structures

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Free vibrations and buckling analysis of laminated plates by oscillatory radial basis functions

Cited by 4 publications

References 20 publications

Spatially varying fuzzy multi-scale uncertainty propagation in unidirectional fibre reinforced composites

Spatially varying fuzzy multi-scale uncertainty propagation in unidirectional fibre reinforced composites

An Equivalent Layer-Wise Approach for the Free Vibration Analysis of Thick and Thin Laminated and Sandwich Shells

Free vibration and buckling analysis of cross-ply laminated composite plates using Carrera's unified formulation based on Isogeometric approach

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